2(x-3)+5x=1-3(x-1)

Solution for 2(x-3)+5x=1-3(x-1) equation:

Simplifying
2(x + -3) + 5x = 1 + -3(x + -1)

Reorder the terms:
2(-3 + x) + 5x = 1 + -3(x + -1)
(-3 * 2 + x * 2) + 5x = 1 + -3(x + -1)
(-6 + 2x) + 5x = 1 + -3(x + -1)

Combine like terms: 2x + 5x = 7x
-6 + 7x = 1 + -3(x + -1)

Reorder the terms:
-6 + 7x = 1 + -3(-1 + x)
-6 + 7x = 1 + (-1 * -3 + x * -3)
-6 + 7x = 1 + (3 + -3x)

Combine like terms: 1 + 3 = 4
-6 + 7x = 4 + -3x

Solving
-6 + 7x = 4 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-6 + 7x + 3x = 4 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-6 + 10x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 10x = 4 + 0
-6 + 10x = 4

Add '6' to each side of the equation.
-6 + 6 + 10x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 4 + 6
10x = 4 + 6

Combine like terms: 4 + 6 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1